Counting Perimeter Magic Triangles
Gupta, Jayaditya (2023) Counting Perimeter Magic Triangles. At Right Angles. pp. 63-67. ISSN 2582-1873
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Abstract
The problem Arrange numbers from 1 to 9 in the circles (Figure 1) such that the sum of numbers on each side is the same, without repeating any of the numbers (so each number appears exactly once). Such a configuration is called a perimeter magic triangle of order 4 (or simply a magic triangle; we leave out the word ‘perimeter’). The number of circles on each side determines the ‘order’ of the magic triangle. Is such a configuration possible? If so, how many solutions exist?
Item Type: | Articles in APF Magazines | ||
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Authors: | Gupta, Jayaditya | ||
Document Language: |
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Uncontrolled Keywords: | Magic triangle, magic sum, partitions, counting, reasoning | ||
Subjects: | Natural Sciences > Mathematics | ||
Divisions: | Azim Premji University > University Publications > At Right Angles | ||
Full Text Status: | Public | ||
URI: | http://publications.azimpremjiuniversity.edu.in/id/eprint/4892 | ||
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